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Practice Makes Perfect: Our Flashcards and Video

Mastering Multiplication: 4-Digit by 1-Digit Using the Grid Method

To help you reinforce your understanding and practice this method, we've created a set of flashcards and a practice video. You can download the flashcards or watch our video to further test your skills.

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Guide to Multiplying 4-Digit by 1-Digit Using the Grid Method

Understanding the Grid Method

The grid method is an effective way to break down complex multiplication into simpler steps. Here’s how you can multiply a 4-digit number by a 1-digit number using this method.

Example: Multiplying 6 by 7,981

  1. Break Down the Larger Number: Start by breaking down 7,981 into its constituent parts:7,000
    900
    80
    1

  2. Multiply Each Part: Multiply each part by 6:6×7,000=42,0006 \times 7,000 = 42,0006×7,000=42,000
    6×900=5,4006 \times 900 = 5,4006×900=5,400
    6×80=4806 \times 80 = 4806×80=480
    6×1=66 \times 1 = 66×1=6

  3. Create a Grid: Use a grid to keep track of each multiplication step:Row 1: 6 times 7,000 = 42,000
    Row 2: 6 times 900 = 5,400
    Row 3: 6 times 80 = 480
    Row 4: 6 times 1 = 6

  4. Sum the Results: Add all the products together to get the final result:42,000+5,400+480+6=47,88642,000 + 5,400 + 480 + 6 = 47,88642,000+5,400+480+6=47,886

By using this grid method, you can easily handle the multiplication of large numbers and understand the process behind it. This method also enhances your ability to perform mental multiplication by breaking down the steps.


Why This Method Works

The grid method helps you visualize the multiplication process by dividing it into smaller, more manageable parts. It’s not only useful for paper calculations but also for mental math, as it allows you to remember partial products and sum them effectively.

By practicing this method, you’ll develop a stronger grasp of multiplication and improve your problem-solving skills. Remember, practice is key to mastering any mathematical concept, so make use of the provided flashcards and video to enhance your learning experience.

When it comes to learning how to multiply large numbers, one of the best resources available online is Khan Academy. They provide an excellent explanation on this topic through their comprehensive videos and tutorials. Here's a link to their video that dives into multiplying a 4-digit number by a 1-digit number using the grid method:

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